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21142211000 = 235331367547
BaseRepresentation
bin10011101100001011…
…001000100110111000
32000120102210121011212
4103230023020212320
5321244401223000
613413530542252
71345631554061
oct235413104670
960512717155
1021142211000
118a6a255059
124120597988
131cbc217631
141047c91568
1583b18dc35
hex4ec2c89b8

21142211000 has 64 divisors (see below), whose sum is σ = 49631568480. Its totient is φ = 8429740800.

The previous prime is 21142210987. The next prime is 21142211021. The reversal of 21142211000 is 11224112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279227 + ... + 346773.

Almost surely, 221142211000 is an apocalyptic number.

21142211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24815784240).

21142211000 is an abundant number, since it is smaller than the sum of its proper divisors (28489357480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21142211000 is a wasteful number, since it uses less digits than its factorization.

21142211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67881 (or 67867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21142211000 its reverse (11224112), we get a palindrome (21153435112).

The spelling of 21142211000 in words is "twenty-one billion, one hundred forty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 313 500 626 1000 1252 1565 2504 3130 6260 7825 12520 15650 31300 39125 62600 67547 78250 135094 156500 270188 313000 337735 540376 675470 1350940 1688675 2701880 3377350 6754700 8443375 13509400 16886750 21142211 33773500 42284422 67547000 84568844 105711055 169137688 211422110 422844220 528555275 845688440 1057110550 2114221100 2642776375 4228442200 5285552750 10571105500 21142211000